已知x²-5x-2004=0,求代数式(x-2)³-(x-1)²+1/(x-2)的值

问题描述:

已知x²-5x-2004=0,求代数式(x-2)³-(x-1)²+1/(x-2)的值
1个回答 分类:数学 2014-12-02

问题解答:

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x²-5x-2004=0
x²-5x=2004
(x-2)³-(x-1)²+1/(x-2)
=(x³-6x²+12x-8-x²+2x-1+1)/(x-2)
=(x³-7x²+14x-8)/(x-2)
=x²-5x+4
=2004+4
=2008
 
 
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